Grade 12Integral Calculus
If f(x)=∫ 2sinx-sin2x dx/x 3 ,x is not equal to zero, then find lim f’ (x) as x tends to zero.
If f(x)=∫ 2sinx-sin2x dx/x 3 ,x is not equal to zero, then find lim f’ (x) as x tends to zero.
1 Answer
Vikas TU
The differentiation of the integeral,
f(x)=∫ 2sinx-sin2x dx/x 3
would give
f(x) simply.
that is:
lim x – > 0 (2sinx-sin2x) /x 3
Simply expand the exapnsion of sin terms up to the x^3 terms so that it would get cancel out from the denominator x term.
and then put x = 0 as the limit.
Other Related Questions on integral calculus
The area of a square field is 640000cm2.what is its area in hectares
The area of a square field is 640000cm2.what is its area in hectares
integral calculus
Last Activity: 3 Years ago
Please solve this integration. I am facing difficulty in it How to solve this. Please solve anyone. Humble request
Please solve this integration. I am facing difficulty in it
How to solve this. Please solve anyone. Humble request
integral calculus
Last Activity: 4 Years ago
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
Using laplace transform, solve d2y/dt2 + dy/dt = t2 +2t given that y=4 and y’=-2 and t=0
integral calculus
Last Activity: 4 Years ago
If 4th term of an A.p is zero, show that the 8th term is double the 6th term
If 4th term of an A.p is zero, show that the 8th term is double the 6th term
integral calculus
Last Activity: 4 Years ago